In a sound interference experiment, two identical loudspeakers are placed 4.00 m apart, fa...

SKETCH:

RESEARCH:

From the above sketch, the difference in the paths traveled by the two sound waves is

The condition for constructive interference is given by

, Where

The condition for the destructive interference at the far wall is,

, Where

For , it can be seen that

SIMPLIFY:

(a)

The distance of the points of the maximum intensity is given by

Therefore,

(b)

The distance of the points of the minimum intensity is given by

Therefore,

(c)

Separation between the two points of the maximum intensity is given by

(d)

Separation between the two points of the minimum intensity is given by

CALCULATE:

Wavelength of the sound,

(a)

The points of the maximum intensity on rail are given by

(b)

The points of the maximum intensity on rail are given by

(c)

Separation between two points of maximum intensity is given by

(d)

Separation between two points of minimum intensity is given by

(e)

When two speakers produce sound of different intensities then microphone cannot detect zero intensity. It detects the intensity equal to difference in the intensities from the speakers at the minimum point.